Solve 20000*(1+90/360*20%)

$$20000 \times (1+ \frac{ 90 }{ 360 } \times 20 \% )$$

Evaluate

$$21000$$

Solution Steps

Reduce the fraction \frac{90}{360} to lowest terms by extracting and canceling out 90.

$$20000\left(1+\frac{1}{4}\times \frac{20}{100}\right)$$

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$20000\left(1+\frac{1}{4}\times \frac{1}{5}\right)$$

Multiply \frac{1}{4} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$20000\left(1+\frac{1\times 1}{4\times 5}\right)$$

Do the multiplications in the fraction \frac{1\times 1}{4\times 5}.

$$20000\left(1+\frac{1}{20}\right)$$

Convert 1 to fraction \frac{20}{20}.

$$20000\left(\frac{20}{20}+\frac{1}{20}\right)$$

Since \frac{20}{20} and \frac{1}{20} have the same denominator, add them by adding their numerators.

$$20000\times \frac{20+1}{20}$$

Add 20 and 1 to get 21.

$$20000\times \frac{21}{20}$$

Express 20000\times \frac{21}{20} as a single fraction.

$$\frac{20000\times 21}{20}$$

Multiply 20000 and 21 to get 420000.

$$\frac{420000}{20}$$

Divide 420000 by 20 to get 21000.

$$21000$$

Factor

$$2^{3}\times 3\times 5^{3}\times 7$$